175 citations · 346 across the 31 of their papers we have counts for
38 papers
Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system
Steffen Schotthöfer, M. Paul Laiu, Martin Frank +1
The main challenge of large-scale numerical simulation of radiation transport is the high memory and computation time requirements of discretization methods for kinetic equations.…
Asymptotic Relaxation of Moment Equations for a Multi-Species, Homogeneous BGK Model
Evan Habbershaw, Ryan S. Glasby, Jeffrey R. Haack +2
Multi-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially non-trivial velocity distributions.…
A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption
Peimeng Yin, Eirik Endeve, Cory D. Hauck +1
Dynamical low-rank approximation (DLRA) is an emerging tool for reducing computational costs and provides memory savings when solving high-dimensional problems. In this work, we pr…
Modeling Information Flow with a Multi-Stage Queuing Mode
Mohammad Daneshvar, Richard C. Barnard, Cory Hauck +1
In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into…
A Collision-Based Hybrid Method for the BGK Equation
Minwoo Shin, Cory D. Hauck, Ryan G. McClarren
We apply the collision-based hybrid introduced in \cite{hauck} to the Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of the source term is…
Numerical analysis of a hybrid method for radiation transport
Andrés Galindo-Olarte, Victor P. DeCaria, Cory D. Hauck
In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a spl…